an:01321779
Zbl 0928.05029
Panda, B. S.
The forbidden subgraph characterization of directed vertex graphs
EN
Discrete Math. 196, No. 1-3, 239-256 (1999).
00058380
1999
j
05C20 05C75
digraphs; intersection graph; directed vertex graph; directed path graph; characterization; forbidden subgraphs
For a family \(F\) of non-empty sets, an undirected graph \(G\) is an intersection graph for \(F\) if there is a one-to-one correspondence between vertices of \(G\) and the sets of \(F\) such that two vertices in \(G\) are adjacent if and only if the corresponding sets in \(F\) have a non-empty intersection. A graph is a directed vertex graph or a directed path graph if it is the intersection graph of a family of directed paths in a directed tree. The author gives a characterization of directed vertex graphs based on 15 forbidden subgraphs.
D.P.Brown (Carbondale)